# Calculation

The 2014 National Curriculum changes, and the introduction of a national arithmetic paper from 2016, necessitated a review of calculation policies and procedures. Following collaboration with Liz Hopkins (author at **Buzzard Publishing**) here we provide several documents that should help primary and secondary schools in this process.

**Progression in Addition and Subtraction****Progression in Multiplication and Division****Calculation Overview**

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**Times Tables**

A collection of resources to improve pupils’ recall of the multiplication and division facts up to 12 × 12 and become a Medi (‘Maths Jedi’!) at knowing their times tables.

**Posters**

## Practice

## Problem solving and reasoning resources

These Tarsia activities support problem solving and reasoning. Note that you will need to install **Tarsia** software to access the contents of these zip files:

**Set 1: Basic**. Pupils cut out the pieces and solve the puzzle using multiplication and division facts. Some puzzles may include a missing answer indicated by a question mark. If this is the case, pupils need to solve the puzzle to find the missing value.**Set 2: Maths Detective**. These puzzles contain mistakes. Print out the solution page and ask pupils to find all the mistakes. Some puzzles may include a missing answer indicated by a question mark. If this is the case, pupils need to solve the puzzle to find the missing value.**Set 3: Connect**. Pupils cut out the pieces and solve the puzzle using related multiplication and division facts. Some puzzles may include a missing answer indicated by a question mark. If this is the case, pupils need to solve the puzzle to find the missing value.**Pattern sniffing (5× table)**. Print off the coded times tables in strips and ask the pupils to work out the times table that has been coded. The 5× table is the easy place to start.**9× table**(medium) and**3× table**(hard) versions are also available. Other times tables can be created using the ‘Wingdings’ font.

Fluency resources

These tasks support procedural fluency. Pupils complete the tasks using multiplication and/or division facts. When they can complete the tasks correctly, pupils can then be timed. Pupils aim to beat their Personal Best (PB) over time. Many thanks to the Maths Teams at Montgomery, Percy Shurmer and Anglesey AET Academies for developing and sharing the contents of these zip files.

# Stick on the Maths

A ‘Stick on the Maths’ activity comprises a 3 by 3 grid with nine questions, statements or scenarios. Alongside this there are nine cards that can be placed on to the grid to provide a solution or fact that matches the question (statement or scenario).

We have found that pupils really engage with these activities when they are both provided on paper for them to move the cards around, while also displayed on screen at the front of the classroom. ‘Enabling content’ will allow you to view the activity ‘full screen’, and move the cards by clicking and dragging the border of the box.

You can also choose to hide the ‘solution’ cards for an alternative way of using the resource. Most of the activities can be used without the cards by challenging pupils to produce their own set of solutions. These can be could be shared with a partner, or written on post-it notes and placed on the projected image (hence, ‘Stick on the Maths’).

And yes, we know … they are still named and listed by old NC Levels. This is a job we haven’t quite found time for yet, but at some point we will rename everything. In the meantime, this is no reason not to use them! Once you’ve heard the reasoning that these problem-solving activities generate we are sure you will agree!

CALC1: Understanding addition

CALC2: Understanding subtraction

CALC3: Adding and subtracting to 10

CALC4: Addition facts

CALC5: Solving problems

CALC6: Recording work

HD1: Sorting and classifying

HD2: Representing work

NNS1: Counting up to 10

NNS2: Reading and writing numbers to 10

NNS3: Ordering numbers to 10

NNS4: One half

SSM1: Everyday language: properties of shapes

SSM2: Everyday language: positions of shapes

SSM3: Measuring and ordering

SSM4: Ordering events

ALG1: Odd and even

CALC1: Addition and subtraction I

CALC1: Addition and subtraction II

CALC3: Solving problems

CALC4: Recording work

CALC5: Addition and subtraction III

HD1: Sorting and classifying

HD2: Vocabulary

HD3: Collecting data

HD4: Recording results

HD5: Communicating findings

NNS1: Counting

NNS2: Place value to 100

NNS3: Halves and quarters

SSM1: Names of shapes

SSM2: Properties of shapes

SSM3: Position of objects

SSM4: Angle measure

SSM5: Measures I.doc

SSM6: Measures II

ALG1: Sequences

ALG2: Symbols

CALC1: Multiplication and division I

CALC2: Addition and subtraction I

CALC3: Addition and subtraction II

CALC4: Multiplication and division II

CALC5: Addition and subtraction III

CALC6: Number problems

HD1: Gathering information

HD2: Bar charts and pictograms

HD3: Venn and Carroll diagrams

HD4: Interpreting information

NNS1: Place value

NNS2: Approximating

NNS3: Negative numbers

NNS4: Fractions

NNS5: Decimal notation

SSM1: Classifying shapes

SSM2: Nets of 3D shapes

SSM3: Orientation and reflection of shapes

SSM4: Position and movement

SSM5: Measures

SSM6: Time

ALG1: Simple formulae in words

ALG2: Coordinates in the first quadrant

CALC1: Mental methods

CALC2: Multiplication facts

CALC3: Written methods

CALC4: Multiplying a decimal

CALC5: Solving problems

CALC6: Checking results

HD1: Discrete data.doc

HD2: Grouping data

HD3: Venn and Carroll diagrams

HD4: Frequency diagrams and line graphs

HD5: Mode and range

NNS1: Number patterns

NNS2: Number relationships

NNS3: Place value

NNS4: Proportions of a whole

NNS5: Ordering decimals

NNS6: Simple ratio

SSM1: Properties of shapes

SSM2: Making models and drawing shapes

SSM3: Simple transformations

SSM4: Choosing units and instruments

SSM5: Interpreting measurements

SSM6: Area and perimeter

ALG1: Simple formulae

ALG2: Coordinates in four quadrants

CALC1: Known facts, place value and order of operations

CALC2: Use of a calculator

CALC3: Multiplying and dividing

CALC4: Negative numbers

CALC5: Ratio and proportion

CALC6: Checking solutions

HD1: Collecting data

HD2: Probability

HD3: The probability scale

HD4: Averages

HD5: Experiments

HD6: Graphs and diagrams

HD7: Line graphs

NNS1: Place value

NNS2: Decimals and negative numbers

NNS3: Number patterns and relationships

NNS4: Equivalence between fractions

NNS5: Simplifying fractions

NNS6: Ratio

SSM1: Properties of shapes

SSM2: Angles

SSM3: Transforming shapes

SSM4: Measuring and drawing angles

SSM5: Interpreting scales

SSM6: Units

SSM7: Area and perimeter